As historical researchers its always a good practice for us to keep an open mind. Having said that, in regard to identifying historical figures, until proven otherwise I would think a person with the same name as the figure being researched would tend to be the better candidate for actually being the person being looked for as opposed to someone with a different name.
In the meantime....there was a profound flurry of late 20th century researchers and historians citing each other claiming Bloody Bill Anderson wanted to make a prisoner trade of Thomas Goodman for Cave Wyatt. "Citing each other" being a key point here. Until a primary source surfaces, all that is is speculation being presented as fact. So...we're still looking for where all that hoo-rahing originated. Is there a primary source that actually says the words "Thomas Goodman" "Cave Wyatt" "Trade"?
Is there even a secondary source that predates 1950 that says those words?